The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is...

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The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm. Assume yearly rainfall is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. rv X = the mean yearly rainfall of a sample of years of rain in Sydney, Aus b) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 24.8 mm or more. c) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 287.6 mm or less. d) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall between 24.8 and 287.6 mm. e) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall that is at most 33.5 mm. f) Is a yearly rainfall of 33.5 mm unusually low for a randomly selected year of rain in Sydney, Australia? Why or why not? Select an answer g) What yearly rainfall do 43% of all years of rain in Sydney, Australia have more than? Round your answer to two decimal places in the first box. Put the correct units in the second box. The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm. Assume yearly rainfall is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. rv X = the mean yearly rainfall of a sample of years of rain in Sydney, Aus b) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 24.8 mm or more. c) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 287.6 mm or less. d) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall between 24.8 and 287.6 mm. e) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall that is at most 33.5 mm. f) Is a yearly rainfall of 33.5 mm unusually low for a randomly selected year of rain in Sydney, Australia? Why or why not? Select an answer g) What yearly rainfall do 43% of all years of rain in Sydney, Australia have more than? Round your answer to two decimal places in the first box. Put the correct units in the second box.